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EOF using the Ritz method: Application to superelliptic microchannels
Author(s) -
Wang Chang Yi,
Chang Chien C.
Publication year - 2007
Publication title -
electrophoresis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.666
H-Index - 158
eISSN - 1522-2683
pISSN - 0173-0835
DOI - 10.1002/elps.200700001
Subject(s) - channel (broadcasting) , electrokinetic phenomena , debye length , flow (mathematics) , mechanics , poisson distribution , physics , mathematics , materials science , computer science , nanotechnology , quantum mechanics , plasma , computer network , statistics
An efficient Ritz method is developed from the variational principle to solve the Poisson–Boltzmann equation under the Debye–Hückel approximation for studying the EOF in microchannels. The method is applied to the family of superelliptic cross sections which includes the elliptic channel and the rectangular channel as limiting cases. Several accurate tables presented are useful for design of electroosmotic channels, especially rectangular channels with rounded corners. It is shown how the flow rate Q is a sophisticated consequence of the nondimensional electrokinetic width K , the aspect ratio b as well as the superelliptic exponent n .